TS ICET 2018 Shift 1

Instructions

The question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the Statements are sufficient to answer the questions.

Question 11

What is the least common multiple of two positive integers a and b?
I. a and b are distinct prime numbers.
II. a + b = 28.

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Question 12

What is the product of the 7 terms which are in geometric progression?
I. The first and last terms are $$\frac{1}{2}$$ and 32 respectively.
II. The common ratio of the geometric progression is 2.

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Question 13

In the adjacent figure. $$\angle PRT = \angle TRS$$. Is PQ parallel to TR?
I. PR = QR
II. PR = PQ

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Question 14

In an election contested by three candidates A, B and C, how many votes are polled by each A, B and C?
I. A got 1000 votes more than B and B got 1500 votes more than C.
II. A total valid votes polled is 19000.

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Question 15

What is $$\angle Q$$ in the given triangle?
I. PQ = 8cm, PR = 10cm, $$\angle R = 75^\circ$$.
II. $$\angle P = 60^\circ$$, QR = 9 cm.

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Question 16

Is n a prime number?
I. n is of the form $$k^4 + 4, k > 1$$
II. n is of the form 4 k + 1

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Question 17

If a, b, c are integers, is 3(a + c) + b divisible by 3?
I. b is divisible by 3.
II. a + b is divisible by 3.

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Question 18

Is the triangle $$\triangle ABC$$ equilateral? (a, b, c are lengths of the sides of the triangle).
I. $$a^2 + b^2 + c^2 > 0$$
II. $$a^2 + b^2 + c^2 = (ab + bc + ca)$$

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Question 19

How much time will it take for two pipes A and B to fill a tank which is half full?
I. A can fill the empty tank in 12 minutes.
II. B can empty the full tank in 8 minutes.

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Question 20

n and m are real numbers. Is $$n^2 < m^2$$?
I. m > 0
II. n < m

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